Continuity and homeomorphism groups

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Continuity and Homeomorphism Groups

Proof. There exists an open neighborhood W of xgcb such that clsWCZ U, where els W denotes the closure of W. Let [ATjfc|fe = l, 2, • • • ] be a neighborhood base at ~1 which is closed. Moreover WEW, i.e. 4>UxEW. Thus there exists k such that ATJItCWCcls W. Hence xECk. Now from WlCU...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1953

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1953-0060807-0